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Finding the Fourth Proportional to 6,588.26, 9,091.77 and 3,604.15

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Solution

The fourth proportional to 6,588.26, 9,091.77 and 3,604.15 is: 4,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.26 : 9,091.77 = 3,604.15 : x
  2. Step 2: Convert to fraction form
    6,588.26/9,091.77 = 3,604.15/x
  3. Step 3: Cross multiply
    6,588.26x = 9,091.77 × 3,604.15
  4. Step 4: Simplify right side
    6,588.26x = 32,768,059.69
  5. Step 5: Solve for x
    x = 32,768,059.69/6,588.26
  6. Step 6: Final answer
    x = 4,973.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.